A131579 Period 10: repeat 0, 3, 6, 9, 2, 5, 8, 1, 4, 7.

0, 3, 6, 9, 2, 5, 8, 1, 4, 7, 0, 3, 6, 9, 2, 5, 8, 1, 4, 7, 0, 3, 6, 9, 2, 5, 8, 1, 4, 7, 0, 3, 6, 9, 2, 5, 8, 1, 4, 7, 0, 3, 6, 9, 2, 5, 8, 1, 4, 7, 0, 3, 6, 9, 2, 5, 8, 1, 4, 7, 0, 3, 6, 9, 2, 5, 8, 1, 4, 7, 0, 3, 6, 9, 2, 5, 8, 1, 4, 7, 0, 3, 6, 9, 2, 5, 8, 1, 4, 7, 0, 3, 6, 9, 2, 5, 8, 1, 4, 7, 0, 3, 6, 9, 2

Offset: 0

Author

Paul Curtz, Oct 02 2007

Keywords

• nonn
• easy

Comments

a(n) = last digit of 3*n, n >= 0. a(n+7) = last digit of 3*n + 1, n >= 0, and a(n+4) = last digit of 3*n + 2, n >= 0. The last digit of -3*n = A144468(n), n >= 0, the last one of -3*n + 1 = A144468(n+3), n >= 0 and the last one of -3*n + 2 = A144468(n+6), n >= 0. - Wolfdieter Lang, Aug 14 2017

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,1)

Crossrefs

Cf. A022336, A025648, A025655, A059626, A144468.

Programs

Magma

&cat[[0,3,6,9,2,5,8,1,4,7]^^10]; // Vincenzo Librandi, Aug 15 2017

Mathematica

PadRight[{}, 120, {0, 3, 6, 9, 2, 5, 8, 1, 4, 7}] (* Vincenzo Librandi, Aug 15 2017 *)

Formula

a(n) = A008585(n) mod 10. - Bruno Berselli, Mar 08 2011

G.f.: -x*(3 + 6*x + 9*x^2 + 2*x^3 + 5*x^4 + 8*x^5 + x^6 + 4*x^7 + 7*x^8) / ( (x-1) *(1+x) *(x^4 + x^3 + x^2 + x + 1) *(x^4 - x^3 + x^2 - x + 1) ). - R. J. Mathar, Mar 10 2011

Decimal expansion of 41028683/1111111110 . - R. J. Mathar, Jul 06 2025